Structure and classification of C ∗-algebras

@inproceedings{Rrdam2006StructureAC,
  title={Structure and classification of C ∗-algebras},
  author={Mikael R\ordam},
  year={2006}
}
  • Mikael Rørdam
  • Published 2006
We give an overview of the development over the last 15 years of the theory of simple C∗-algebras, in particular in regards to their classification and structure. We discuss dimension theory for (simple) C∗-algebras, in particular the so-called stable and real ranks, and we explain how properties of C∗-algebras of low dimension (stable rank one and real rank zero) was used by the author and P. Friis to give a new and simple proof of a theorem of H. Lin that almost commuting self-adjoint… CONTINUE READING

From This Paper

Figures, tables, results, connections, and topics extracted from this paper.
22 Extracted Citations
26 Extracted References
Similar Papers

Citing Papers

Publications influenced by this paper.
Showing 1-10 of 22 extracted citations

Referenced Papers

Publications referenced by this paper.
Showing 1-10 of 26 references

On the classification of simple inductive limit C∗-algebras II: The isomorphism theorem

  • G. A. Elliott, G. Gong, L. Li
  • PREPRINT
  • 1998
Highly Influential
3 Excerpts

A property of purely infinite simple C∗-algebras

  • S. Zhang
  • Proc. Amer. Math. Soc. 109
  • 1990
Highly Influential
3 Excerpts

On a simple unital projectionless C∗-algebra

  • X. Jiang, H. Su
  • American J. Math. 121
  • 1999
1 Excerpt

Random matrices and K-theory for exact C∗algebras

  • U. Haagerup, S. Thorbjørnsen
  • Documenta Math. 4
  • 1999
2 Excerpts

Simple C∗-algebras with perforation

  • J. Villadsen
  • J. Funct. Anal. 154
  • 1998
1 Excerpt

Similar Papers

Loading similar papers…